Описание: Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l^n p spaces which nicely embed into diverse finite-dimensional normed spaces. An essential method here is the concentration of measure phenomenon which is closely related to large deviation inequalities in Probability on the one hand, and to isoperimetric inequalities in Geometry on the other. The book contains also an appendix, written by M. Gromov, which is an introduction to isoperimetric inequalities on riemannian manifolds. Only basic knowledge of Functional Analysis and Probability is expected of the reader. The book can be used (and was used by the authors) as a text for a first or second graduate course. The methods used here have been useful also in areas other than Functional Analysis (notably, Combinatorics).
Автор: Lee Название: Riemannian Manifolds ISBN: 038798271X ISBN-13(EAN): 9780387982717 Издательство: Springer Рейтинг: Цена: 5886 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Designed for a one-quarter or one-semester graduate course on Riemannian geometry. This book focuses on developing an intimate acquaintance with the geometric meaning of curvature and thereby introduces and demonstrates the main technical tools needed for a more advanced course on Riemannian manifolds.
Название: Riemannian submersions and related topics ISBN: 9812388966 ISBN-13(EAN): 9789812388964 Издательство: World Scientific Publishing Рейтинг: Цена: 13600 р. Наличие на складе: Поставка под заказ.
Описание: This book provides the first-ever systematic introduction to the theory of Riemannian submersions, which was initiated by Barrett O'Neill and Alfred Gray less
than four decades ago. The authors focus their attention on classification theorems when the total space and the fibres have nice geometric properties. Particular emphasis is placed on
the interrelation with almost Hermitian, almost contact and quaternionic geometry.
Examples clarifying and motivating the theory are included in every chapter. Recent results
on semi-Riemannian submersions are also explained. Finally, the authors point out the close connection of the subject with some areas of physics.
Описание: Pseudo-Riemannian geometry is an active research field not only in differential geometry but also in mathematical physics where the higher signature geometries play a role in brane theory. This book presents a comprehensive treatment of various aspects of pseudo-Riemannian geometry.
Автор: Null Curves And Hypersurfaces Of Semi-Riemannian Manifolds Название: Null Curves And Hypersurfaces Of Semi-Riemannian Manifolds ISBN: 981270647X ISBN-13(EAN): 9789812706478 Издательство: World Scientific Publishing Рейтинг: Цена: 9957 р. Наличие на складе: Поставка под заказ.
Описание: This is a first textbook that is entirely focused on the up-to-date developments of null curves with their applications to science and engineering. It fills an
important gap in a second-level course in differential geometry, as well as being essential for a core undergraduate course on Riemannian curves and surfaces. The sequence of
chapters is arranged to provide in-depth understanding of a chapter and stimulate further interest in the next.
The book comprises a large variety of solved examples and
rigorous exercises that range from elementary to higher levels. This unique volume is self-contained and unified in presenting: a systematic account of all possible null curves, their
Frenet equations, unique null Cartan curves in Lorentzian manifolds and their practical problems in science and engineering; and, the geometric and physical significance of null
geodesics, mechanical systems involving curvature of null curves, simple variation problems and the interrelation of null curves with hypersurfaces.
Автор: Petersen Название: Riemannian Geometry ISBN: 0387292462 ISBN-13(EAN): 9780387292465 Издательство: Springer Рейтинг: Цена: 4390 р. Наличие на складе: Поставка под заказ.
Описание: This comprehensive introduction to Riemannian Geometry offers a detailed and engaging account of the topic, plus numerous exercises and examples. It combines both the geometric parts of Riemannian geometry and the analytic aspects of the theory, and reviews the latest research.
Автор: Krzysztof Galicki; Santiago R. Simanca Название: Riemannian Topology and Geometric Structures on Manifolds ISBN: 0817647422 ISBN-13(EAN): 9780817647421 Издательство: Springer Рейтинг: Цена: 14024 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The various contributions to this volume discuss recent advances in the areas of positive sectional curvature, Kahler and Sasakian geometry, and their interrelation to mathematical physics, especially M and superstring theory.
Описание: The present monograph gives a short and concise introduction to classical and quantum mechanics on two-point homogenous Riemannian spaces, with empahsis on spaces with constant curvature. Chapter 1-4 provide the basic notations from differential geometry for studying two-body dynamics in these spaces. Chapter 5 deals with the problem of finding explicitly invariant expressions for the two-body quantum Hamiltonian. Chapter 6 addresses one-body problems in a central potential. Chapter 7 studies the classical counterpart of the quantum system of chapter 5. Chapter 8 investigates some applications in the quantum realm, namely for the coulomb and oscillator potentials.
Автор: Lang Название: Differential and Riemannian Manifolds ISBN: 0387943382 ISBN-13(EAN): 9780387943381 Издательство: Springer Рейтинг: Цена: 5605 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Isaac Chavel Название: Riemannian Geometry ISBN: 0521853680 ISBN-13(EAN): 9780521853682 Издательство: Cambridge Academ Рейтинг: Цена: 10407 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader’s appreciation of the subject. This second edition has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. The main themes here are the effect of the curvature on the usual notions of classical Euclidean geometry, and the new notions and ideas motivated by curvature itself. Among the classical topics shown in a new setting is isoperimetric inequalities - the interplay of volume of sets and the areas of their boundaries - in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.
Автор: Isaac Chavel Название: Riemannian Geometry ISBN: 0521619548 ISBN-13(EAN): 9780521619547 Издательство: Cambridge Academ Рейтинг: Цена: 4891 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader’s appreciation of the subject. This second edition has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. The main themes here are the effect of the curvature on the usual notions of classical Euclidean geometry, and the new notions and ideas motivated by curvature itself. Among the classical topics shown in a new setting is isoperimetric inequalities - the interplay of volume of sets and the areas of their boundaries - in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.
Автор: Berger Marcel Название: A Panoramic View of Riemannian Geometry ISBN: 3540653171 ISBN-13(EAN): 9783540653172 Издательство: Springer Рейтинг: Цена: 10284 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Riemannian geometry has today become a vast and important subject. This new book of Marcel Berger sets out to introduce readers to most of the living topics of the field and convey them quickly to the main results known to date. These results are stated without detailed proofs but the main ideas involved are described and motivated. This enables the reader to obtain a sweeping panoramic view of almost the entirety of the field. However, since a Riemannian manifold is, even initially, a subtle object, appealing to highly non-natural concepts, the first three chapters devote themselves to introducing the various concepts and tools of Riemannian geometry in the most natural and motivating way, following in particular Gauss and Riemann.
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